GCF of 5141/327, 7385/1743
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5141/327, 7385/1743 i.e 1/189987 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5141/327, 7385/1743.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5141/327,7385/1743?
Given fractions are 5141/327,7385/1743
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5141/327,7385/1743, numerators are 5141,7385
Denominators are 327,1743
The GCF of 5141,7385 is 1 .
LCM of 327,1743 is 189987.
The greatest common factor of 5141/327,7385/1743 = [GCF of 5141,7385]/[LCM of 327,1743]= 1/189987
Therefore, the GCF of 5141/327,7385/1743 is 1/189987.
To find the highest common factor of 5141,7385, we have to find the factors of both numbers and list the highest common factor.
The factors of 5141 are 1, 53, 97, 5141
The factors of 7385 are 1, 5, 7, 35, 211, 1055, 1477, 7385
The HCF of 5141,7385 is 1.
Lets's calculate GCF of 5141,7385
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5141,7385 By Matching Biggest Common Factor Method
Now, list down the factors of 5141
:1,53,97,5141
Now, list down the factors of 7385
:1,5,7,35,211,1055,1477,7385
Greatest Common Factor
We found the factors 5141,7385 . The biggest common factor number is the GCF number.
So the greatest common factor 5141,7385 is 1.
Lets's calculate LCM of 327,1743
| 3 | 327, 1743 |
| 109, 581 |
∴ So the LCM of the given numbers is 3 x 109 x 581 = 189987
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189987
Therefore, the GCF of Fractions 5141/327,7385/1743 is 1/189987
Least Common Multiple of 327,1743 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 327,1743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(327,1743) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(327,1743) x common factors =3 x 1 = 3
LCM(327,1743) = ( 327 × 1743 ) / 3
LCM(327,1743) = 569961 / 3
LCM(327,1743) = 189987
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5141/327, 7385/1743
1. What is the HCF of 5141,7385?
The HCF of 5141,7385 is 1
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5141/327, 7385/1743?
Answer: GCF of Numerators as per given numbers 5141/327, 7385/1743 is
GCF of Numerators i.e. for 5141,7385 is 1
LCM of denominators i.e. for 327,1743 is 189987.
Thus, GCF of Fractions is 1/189987.Finally, GCF of Fractions for 5141/327, 7385/1743 is 1/189987.